Light Turbojet First Officer report the pilot crew was assigned a STAR but there was no descend via or transition route for their arrival airport OSU. Reporter stated they have experienced routing and clearance issues since the new STAR recently became effective.

Narrative

While on the initial descent into OSU airport from the southwest; Indianapolis Center issued a clearance to maintain 14;000 ft. and then descend via the JAKTZ.1 RNAV arrival landing west. As PNF (Pilot Not Flying); I was working the radios and responded that we could maintain 14;000 thousand; but unable to descend via the JAKTZ.1 because we are landing OSU and there is no descend via instructions on the current Jeppesen Chart for that airport. Controller sounded confused and then issued an alternative clearance. Since the new arrivals into the Columbus area became effective a month or so ago; we have experienced multiple issues with routing and descend via clearances from both; Indianapolis Center and Columbus Approach Control. Concerns exists as to whether the pilots and controllers are referencing the same information; the overall design of the new air traffic procedures; and training. Suggestions; seek comprehensive user input prior to redesigning air traffic procedures. Enhanced communications prior to releasing new air traffic procedures. Proper training prior to effected parties.